1.
A.
B.
C.
D.
The sum of the additive inverse and multiplicative inverse of 2 is __________.
3
2
-3
2
1
2
-1
2
The value of x for which the two rational numbers
2.
3 x
, are equivalent , is______.
7 42
A.
B.
C.
D.
18
15
12
10
3.
If 24 trousers of equal size can be prepared in 54 metres of cloth, what length of cloth is required for each trouser?
A.
B.
C.
D.
4
m
3
9
m
4
8
m
9
14
m
9
4.
Solution of the equation 6(3x + 2) - 5(6x - 1) = 6(x -3) - 5(7x - 6) + 12x is _______.
A.
B.
C.
D.
-1
1
0
2
A motor boat covers a certain distance downstream in a river in five hours. It covers the same distance upstream in five hours and
a half. The speed of the water is 1.5 km/hr. The speed of the boat in still water is ________.
5.
A.
B.
C.
D.
30 km/hr
30.5 km/hr
31.5 km/hr
20 km/hr
rd
3
æ2ö
ç ÷ of a number whe n multiplied by of the same number make 338.
4
è3ø
The number is ___________.
6.
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A.
B.
C.
D.
18
24
36
26
7.
ABCD is rhombus. If ÐACB = 40°, then Ð ADB is ________.
A.
B.
C.
D.
40°
45°
50°
60°
8.
Four angles of a quadrilateral are in the ratio 3: 5: 7: 9. The greatest angle is _______.
A.
B.
C.
D.
125°
75°
135°
120°
9.
ABCD is a quadrilateral. If AC and BD bisect each other, then ABCD must be ______.
A.
B.
C.
D.
Square
Rectangle
Parallelogram
Rhombus
If
10.
A.
B.
C.
D.
4
7
16
28
11.
A.
B.
C.
D.
The smallest square number which is divisible by each of the numbers 6, 9 and 15, is _________.
100
400
900
1024
12.
A.
B.
C.
D.
16
x
=
, then x = _______.
49 49
Evaluate
41 - 21 + 19 - 9 .
3
6
5
6.4
13.
Three numbers are in the ratio 2: 3: 4 to one another. The sum of their cubes is 33957. The numbers are _______.
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A.
B.
C.
D.
14, 21, 28
12, 15, 17
14, 18, 21
21, 28, 32
14.
A.
B.
C.
D.
The cube root of 272 is ______.
27
9
3
None of these
The cube root of
15.
9
-
512
39
is ______.
4
A. 3
B.
4
3
2
C. 3
D.
16.
A.
B.
C.
D.
2
3
0.9 percent can be expressed as ______.
0.009
0.09
0.0009
0.9
1
A man sells a mare of Rs.1085 making a profit of 8 %.
2
1 7 . The cost of the mare is ______.
A.
B.
C.
D.
Rs.982
Rs.999.50
Rs.927.75
Rs.1000
18.
A.
B.
C.
D.
The C.I. on a certain sum for 2 years is Rs.410 and S.I. is Rs.400. The rate of interest per annum is ________.
10 %
8%
5%
4%
1
12 % of Rs. 50 is equal to _________.
2
19.
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A.
B.
C.
D.
Rs.6.25
Rs.6.15
Rs.6.75
Rs.6.45
20.
A.
B.
C.
D.
5
8
9
10
21.
A.
B.
C.
D.
What must be subtracted from x4 + 2x2 - 3x + 7 to get x3 + x2 + x - 1?
x4 - x3 + x2 - 4x + 8
x3 + x2 - 4x + 8
x4 - x3 + x2 + 4x - 8
x4 - x3 - x2 + 4x - 8
22.
A.
B.
C.
D.
If 2x + y = 5, then 4x + 2y is equal to ___________.
The product of two factors with unlike signs is _______.
Positive
Negative
Cannot be determined
None of these
A metal sheet 27cm long, 8cm broad and 1 cm thick is melted into a cube. The difference between surface areas of two solids is
________.
23.
A.
B.
C.
D.
284 cm2
286 cm2
296 cm2
280 qm2
In the given figure, RSTV is a square inscribed in a circle with centre O and radius r. The total area of shaded region is
__________.
24.
A.
r 2 (p - 2)
B.
2r 2 (2 - p )
C.
D.
p (r 2 - 2)
8r2 - 8r
25.
A cylindrical tower is 5 metres in diameter and 14 metres high. The cost of white washing its curved surface at 50 paise per m2 is
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A.
B.
C.
D.
Rs.90
Rs.97
Rs.110
Rs.95
26.
A.
B.
C.
D.
2.5 % increase
0.25 % increase
0.25 % decrease
2.5 % decrease
27.
A.
B.
C.
D.
1
¸ 16 2
= ______.
The value of x, if 3x = 81 is _______.
4
8
2
5
29.
A.
B.
C.
D.
5
16 2
250
256
255
200
28.
A.
B.
C.
D.
What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%?
The value of x + x (xx ) when x = 2 is ______
10
16
18
36
A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the work in 42 days. The two
together could have completed the work in ________.
30.
A.
B.
C.
D.
24 days
25 days
30 days
35 days
31.
A.
B.
C.
D.
Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5: 7. The numbers are ______.
3, 5
7, 9
13, 22
15, 25
32.
The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many girls should be admitted to make ratio 1 : 1
?
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A.
B.
C.
D.
90
120
220
100
33.
The factors of
3x 2 + 11x + 6 3 are _______.
A.
(x - 3 3 )( 3x + 2)
B.
(x - 3 3 )( 3x - 2)
C.
(x + 3 3 )( 3x - 2)
D.
(x + 3 3 )( 3x + 2)
34.
A.
B.
C.
D.
The factors of x4 + y4 + x2 y2 are ________.
(x2 + y2 ) (x2 + y2 - xy)
(x2 + y2 ) (x2 - y2 )
(x2 + y2 + xy) (x2 + y2 - xy)
Factorization is not possible
35.
One factor of - x 2 + x 3 + 6 is ______.
A.
2 3+x
B.
- 2 3 + 3x
C.
x- 3
D.
2 3-x
36.
A.
B.
C.
D.
(0, - 3) lies on
Positive x-axis
Negative x-axis
Positive y-axis
Negative y-axis
The number of hours for which students of a particular class watched television during holidays is shown through the given graph.
Answer the following question.
37.
The number of students watched TV for less than 4 hours, is _________.
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A.
B.
C.
D.
4
8
34
22
38.
From table, the number of students got 60 or more than 60 marks, is ________.
Marks (class - interval)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
A.
B.
C.
D.
15
21
25
29
39.
A.
B.
C.
D.
No. of students
12
13
04
15
06
A 3­digit number ‘cba’ is divisible by 9 if __________.
a + 2b + c is divisible by 9
2a + b + c is divisible by 9
a + b + 2c is divisible by 9
a + b + c is divisible by 9
1A B
+ CC A
If
and there is no carry on additon, then the value of B is _______.
69 7
40.
A.
B.
C.
D.
5
4
3
2
The least valu e must be given to x so that the number 91876 ´ 2 is divisible by 8 is __________.
41.
A.
B.
C.
D.
1
2
3
4
At 4:00 p.m. on a sunny day, a stick 2 feet tall casts a shadow 5 feet long. At the same
time, a tree nearby casts a shadow 55 feet long. What is the height, in feet, of the tree?
42.
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A.
B.
C.
D.
137.5 feet
27.5 feet
22 feet
10 feet
A girl 5.5 feet casts a shadow 70 inches long. At the same time a telephone pole casts
a 314 inches shadow. Which proportion cannot be used to find the height of the telephone
pole
43.
æ 70 ö æ 314 ö
ç
÷=ç
÷
A . è 5.5 ø è x ø
æ 70 ö æ 5.5 ö
ç
÷ =ç
÷
B . è 314 ø è x ø
æ x ö æ 314 ö
ç
÷=ç
÷
C . è 5.5 ø è 70 ø
æ 70 ö = æ 5.5 ö
ç ÷ ç
÷
D . è x ø è 314 ø
Radhika is on a road trip. She travels at an average rate of 50 miles per hour.
1
How far does she travel in 2 hours?
2
44.
A.
B.
C.
D.
50 miles
100 miles
125 miles
150 miles
45.
A.
B.
C.
D.
40
0
80
60
46.
A.
B.
C.
D.
If ‘¸’ means ‘­’, ‘­’ means ‘x’, ‘x’ means ‘+’ and ‘+’ means ‘÷’, then
20 ´ 60 ¸ 40 - 20 + 10 =
“If some Smaugs are Thors and some Thors are Trains, then some Smaugs are definitely Trains. This statement is _______.
True
False
Cannot be determined
None of these
47.
Find the odd one out.
A.
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B.
C.
D.
The owner of the Lucky Fish Restaurant is using his computer to create business cards. The logo he has chosen is shown here.
Which transformation should he use on the left fish to produce the right fish?
48.
A.
B.
C.
D.
Translation
Rotation of 90°
Reflection
Rotation of 180°
Which letter will be the fifth from the right if the first and second, the third and fourth and so on are interchanged among each
other in the word “COMPANIONATE”?
49.
A.
B.
C.
D.
A
I
N
O
50.
The given chart shows how much the Party house charges for pizza parties for different number of people. If n stands for the number
of people and C stands for the cost in, which equation represents the information in the chart?
Number of People
5
8
12
20
A.
B.
C.
D.
Cost
Rs.125
Rs.140
Rs.160
Rs.200
C = 5n + 100
C = n + 45
C = 5n + 40
C = 2n + 35
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